Generalized Legendre transformations

DOI10.1007/BF02634155zbMath0978.37504OpenAlexW2088661091MaRDI QIDQ1294904

A. B. Shabat, Vsevolod Eduardovich Adler

Publication date: 5 February 2002

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02634155

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (11)

Integrability test for evolutionary lattice equations of higher order ⋮ Non-symmetric discrete Toda systems from quad-graphs ⋮ Discretizations of the Landau-Lifshits equation ⋮ Discrete time Toda systems ⋮ Symmetries of Spectral Problems ⋮ Action as an invariant of Bäcklund transformations for Lagrangian systems ⋮ First integrals of generalized Toda chains ⋮ Integrable lattices ⋮ Legendre transforms on a triangular lattice ⋮ On the Structure of the Bäcklund Transformations for the Relativistic Lattices ⋮ Asymptotic Solitons of the Johnson Equation

Cites Work

• Unnamed Item
• Theory of nonlinear lattices
• On a class of Toda chains
• Dressing chains and the spectral theory of the Schrödinger operator
• Mastersymmetries, angle variables, and recursion operator of the relativistic Toda lattice
• Periodic fixed points of Bäcklund transformations and the Korteweg–de Vries equation
• The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
• Nonlinear differential difference equations as Backlund transformations
• Explicit auto-transformations of integrable chains

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